Geometric Patterns Writing Quadratic Functions

S represents the number of small squares in the pattern as a function of n, the step number. Which expression could define S?

• 2n

• 2n + 2

• n² + n

• n² + 2n

Tags

A.FGR.7.6

K represents the number of small squares in the pattern as a function of n, the step number. Which expression could define K?

• n² - n

• n² + n

• n² + 1

• n² - 1

Tags

A.FGR.7.6

The pattern in the image models a quadratic relationship. Write an equation to show the relationship between the stage number, x, and the number of squares.

Tags

A.FGR.7.6

The pattern in the image models a quadratic relationship. Write an equation to show the relationship between the stage number, x, and the number of squares.

Tags

A.FGR.7.6

The pattern in the image models a quadratic relationship. Write an equation to show the relationship between the stage number, x, and the number of squares.

Tags

A.FGR.7.6

The cloud pattern shown has a quadratic relationship. Write a rule to define the number of clouds at the xth stage. There can be a negative number of clouds.

• 2x²+16

• -2x²+20

• 2x²+20

• -2x²+16

Tags

A.FGR.7.6

The number of clouds represented in the visual represents a quadratic relationship. Write a function to define the number of clouds at Stage x.

• f(x) = 3x²

• f(x) = -3x²

• f(x) = 2x² + 1

• f(x) = -3x² + 6

Tags

A.FGR.7.6

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²